3 papers
math-ph2026
Time Averages for the Vortex Model and Stroboscopic Ergodic Averages
Emanuele Caglioti, Marco Cecchini
We consider the vortex model on the plane, focusing on the case of vortices with the same sign and, for simplicity, assuming all vortices possess equal circulation. In particular w…
math.PR2024
Subadditivity and optimal matching of unbounded samples
Emanuele Caglioti, Michael Goldman, Francesca Pieroni +1
We obtain new bounds for the optimal matching cost for empirical measures with unbounded support. For a large class of radially symmetric and rapidly decaying probability laws, we…
math.AP2024
Scattering problem for Vlasov-type equations on the -dimensional torus with Gevrey data
Dario Benedetto, Emanuele Caglioti, Antoine Gagnebin +2
In this article, we consider Vlasov-type equations describing the evolution of single-species type plasmas, such as those composed of electrons (Vlasov-Poisson) or ions (screened V…